California, the most populous state, has approximately 4 x 107 people living in it. The population of the entire United States is approximately 3 x 108 people. How many times greater is the population of the United States than the population of California?

Answer:  y = -2

Step-by-step explanation:

f(x) = A cos (Bx - C) + D

                                  ↓

                                center line (aka midline)

f(x) = 2 cos (3x - 5π/6) - 2

                                      ↓

                                  midline = -2

The midline of the cos function f(x) = 2cos(3x − 5π/6) − 2 is y = -2 after comparing with standard cos function f(x) = Acos(Bx - C) + D

It is defined as a function that is sin-cos wave in nature, and it has a domain of all real numbers and lies between the [a, a] where is the amplitude of the function.

It is given that the cos function is:

f(x) = 2cos(3x - 5π/6) - 2

As we know, the standard form of the cos function is:

f(x) = Acos(Bx - C) + D

Here, A is the amplitude

B is the period of the cos function

C is the phase shift of the cos function

D is the vertical shift of the cos function/midline

On comparing:

D = -2

The midline:

y = -2

Thus, the midline of the cos function f(x) = 2cos(3x − 5π/6) − 2 is y = -2 after comparing with standard cos function f(x) = Acos(Bx - C) + D

Learn more about the cos function here:

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Answer:

The answer is 11.

by using cosine rule we can easily get the answer of this question.

I hope it will help u....

Answer:

He spent $6 on each file

Step-by-step explanation:

Hello,

To solve this question, we need to bring out our variables from the equation.

He spent $40.80 for 3 files and 2 pencil cases

Let x represent the file

Let y represent the pencil case

But the file is $5.40 less than each pencil case

x = y - 5.40.....equation (i)

40.80 = 3x + 2y .......equation (ii)

Substitute equation (i) into equation (ii)

40.80 = 3(y - 5.40) + 2y

40.80 = 3y - 16.20 + 2y

Collect like terms

40.80 + 16.20 = 3y + 2y

57 = 5y

Solve for y

y = 57 / 5

y = 11.4

The pencil case costs $11.4 each.

Put y = 11.4 into equation (i)

x = 11.4 - 5.40

x = 6.0

The file costs $6 each

Answer:

11

Step-by-step explanation:

|a−b| − |c+d|

Let = a=−5; b=4; c=1; d=−3

|-5−4| − |1+-3|

|-9| − |-2|

Absolute values means take the non-negative value

9 + 2

11

Answer:

7

Step-by-step explanation:

| a - b | - | c + d |

Plug in the values for the variables.

| -5 - 4 | - | 1 + -3 |

Evaluate.

| - 9 | - | -2 |

Apply rule : | -a | = a

9 - 2

Subtract the numbers.

= 7

Answer:

The longest side of the ΔQRS is Side RS.

Step-by-step explanation:

Given:  m∠R=65°, m∠S=35° we don't know what m∠Q is in ΔQRS.

To find m∠Q , we first need to know that all triangles have a sum of 180°. Since we are already given two angle measurements ( m∠R and  m∠S) we can add them both measurements up which gives us 100°. Then we subtract 100 from the triangle sum which is 180° (180°-100°) and we are left with 80°. Which mean that m∠Q got to be 80°.

Now we know the all the angles measurements we can immediately find out which side is the longest. To find the longest side its always lie opposite the largest angle which in this m∠Q (80°). Which mean that side RS is the longest side in the triangle.

Answer

so,if x*y> than zero, we know that neither x nor y can be zero, because anything multiplied by zero is equal to zero. now , we also know, that a negative  times a negative is positive, and a positive  times a positive times a positive is a positive

Step-by-step explanation:

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Answer:

[tex]\boxed{x = 45\ degrees}[/tex]

Step-by-step explanation:

x = 180 - 80 - 55 (Interior angles of a triangle add up to 180 degrees so if we need to find any unknown angle, we'll subtract all the other angles from 180)

x = 45 degrees

Answer: 45

Step-by-step explanation:

The sum of a triangle's angles will always be 180 degrees. If we subtract 80 and 55 from 180, we will get the missing angle.

[tex]180-80-55=45[/tex]

Thus, the missing angle is 45 degrees.

Answer:

The correct option is;

A.) A dilation by a scale factor of two-fifths and then a translation of 3 units up

Step-by-step explanation:

The given information are;

Square S undergoes transformation into square S'

From the figure, the dimension of S' = 2/5 dimension of S

Therefore, the scale factor of the dilation is two-fifths

The center of dilation = The origin

Therefore, given that the top right edge of S is at the center of dilation, the initial location of the dilated figure will be (0, 0), (2, 0), (2, -2), and (0, -2)

Given that the lowermost coordinates of S' are (0, 1) and (2, 1), and the lowermost coordinates of the initial dilation are (0, -2) and (2, -2), we have that the translation to S' from the initial dilation is T (0 - 0, 1 - (-2)) = T(0, 3) which is 3 units up.

Answer:

A

Step-by-step explanation:

Answer:

B gains 100 yards every minute. So, after 10 minutes, B has lapped A once.

C gains 100 yards on B every minute, so after 10 minutes C has lapped B.

Thus, after 10 minutes, A has gone 7 laps, B has gone 8 laps, C has gone 9 laps, and all are even again.

Answer:

your answer is A 3 inches

Answer:

3 ≤ n < 15

 1-2. not n

3-4. yes n

5-6. yes n

 7-8. yes n

9-10. yes n

11-12. yes n

13-14. yes n

15-16. not n

Step-by-step explanation:

Everything on this side is less than, < but everything on this side is greater.

Everything on this side could be equal or less, ≤ but everything on this side is

not.

I'm had a hard time with the number line, but imagine a line going through the periods and there being a dot where the yes ns end, and start.

Intervals has each point represent more than one number making the line shorter.

Step-by-step explanation:

We need to find the value of k so that the triangle with vertices (1, -1), (-4,2k) and (-k, – 5) is 24 sq. units.

The area of triangle is given by :

[tex]A=\dfrac{1}{2}\times [x_1(y_2-y_3)-x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

Here,

x₁ = 1, y₁ = -1, x₂ = -4, y₂ = 2k, x₃ = -k and y₃ = -5

So,

[tex]24=\dfrac{1}{2}\times [1(2k-(-5))-(-4)((-5)-(-1))+(-k)((-1)-(2k))][/tex]

We need to solve the above equation,

[tex]48=[1(2k-(-5))-(-4)((-5)-(-1))+(-k)((-1)-(2k))][/tex]

On solving the above equation we get the value of k as :

k = 4.7

Answer:

A box plot should be used in a situation when you need the median and quartiles.  A dot plot should be used when you need exact numbers.  The strengths of a box plot is that it shows a big data sets into a rounded form.  The strengths of a data set is that you can show the exact numbers but it would work best with small numbers.

Hope this helped?

Answer:

x=2

Step-by-step explanation:

Using the formula, a squared plus b squared equals c squared, we can see that 4 squared=16, so x=2.

To check our work, let's use the formula. 4 squared+2 squared=16+4=20.

Answer:

A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand.

Step-by-step explanation:

Answer:

WHEN U GRAPH WITH A CALCULATOR  IT IS MUCH MORE ACCURATE

ESPECIALLY IF THERE R FRACTIONS AND DECIMALS AND THE GRAPHING CALCULATOR GOES ON FOREVER WHERE AS THE GRAPHING PAPER  ENDS

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

          ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                         PEACE!

Answer:

95°

Step-by-step explanation:

Angle 1 and 4 are opposite angles, thus equal, so:

3x+10 = 4x-15 =>

x = 25

Angle 1 and 4 are 85°

Angle 4 and angle 6 are called allied (or co-interior) angles, which are supplementary, i.e., angle 6 = 180 - angle 4, so angle 6 = 95°.

Angle 6 and 7 are again opposite, so angle 7 is 95° as well!

Answer:

3500 tons

Step-by-step explanation:

The Greenpoint factory produced 2/5 of the bricks that the Consolidate Brick Company produced in 1991.

Let the amount of bricks produced by the Greenpoint factory be g and the amount of bricks produced by the Consolidated brick company be c.

Therefore:

g = 2/5 * c = 2c/5

That year, the Greenpoint factory produced 1400 tons of bricks. This implies that:

1400 = 2c/5

To find the amount that the Consolidated Brick Company produced, solve for c:

1400 = 2c/5

1400 * 5 = 2c

7000 = 2c

c = 7000 / 2 = 3500 tons

The Consolidated Brick Company had a total production output of 3500 tons in 1991.

Answer:

3:5 or 3/5

Step-by-step explanation:

We know that there are -->

56 Females

84 Males

We need to find the total amt. of ppl

56 + 84 = 140

Males/140 --> Plug 84 in => 84/140

Since it wants simplified, divide both by 7 as 7 is a factor of both -->

12/20 --> Divide by 4

3/5 => This is the most simplified we can get and -->

thus, our answer is 3:5 or 3/5

Hope this helps!

Answer:

A. How many times the ad appear:

= 400 times

B. How many hits the website must have for thread to appear 1000 times with 0.05 probability that an ad appears when the website is loaded.

= 20,000 hits

Step-by-step explanation:

A. The probability that an ad appears when a particular website is loaded = 0.2

When the website gets 2,000 hits a day, the ad appears

= 2,000 x 0.2

= 400 times

B. When the probability that an ad appears when the website is loaded is 0.05.

Therefore, the website must have 20,000 hits for thread to appear 1,000 times

= 1,000/0.05

= 20,000 times

The probability of an ad appearing when a website is loaded is the chance that the event happens (i.e. the ad appears) from the many events that can happen.

Answer:

e=9.14

Step-by-step explanation:

e²=a²+b²-2abcosФ

e²=36+25-2(30)cos112

e=√36+25-2(30)cos112

e=9.14

Answer:

4

Step-by-step explanation:

The vertex formula of a quadratic equation is:

●y= a(x-h)^2 +k

(h,k) are the coordinates of the vertex

Here: h = -5 and k= -2

y is 2 and x is -4

● 2 = a (-4-(-5))^2 + (-2)

● 2 = a (-4+5)^2 -2

● 2 = a *1^2 -2

● 2 = a -2

● 4 = a

Answer:

(-4,-7)

Step-by-step explanation:

Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)

Answer:

A

Step-by-step explanation:

If you play around with each of the answers, you'll find that 13*10=130 (where $13 is the cost of each of 10 senior tickets) plus 5*8=40 (where $5 is the cost of each of 8 child tickets) equals $170.

Hope this helps!! <3

The price of a senior citizen and child ticket is required.

The correct option is A) senior citizen ticket: $13, child ticket: $5

Let [tex]x[/tex] be the price of senior citizen ticket

[tex]y[/tex] be the price of child ticket

The equations will be

[tex]10x+8y=170[/tex]

[tex]10x+11y=185[/tex]

Subtracting the equations

[tex]-3y=-15\\\Rightarrow y=\dfrac{-15}{-3}\\\Rightarrow y=5[/tex]

Finding [tex]x[/tex]

[tex]10x+8y=170\\\Rightarrow x=\dfrac{170-8y}{10}=\dfrac{170-8\times 5}{10}\\\Rightarrow x=13[/tex]

Learn more about system of linear equations:

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Answer:

C. 120

Step-by-step explanation:

The figure shows that angles BEC and KEC are congruent. Their measures are equal.

m<KEC = m<BEC

10x = 6x + 24

4x = 24

x = 6

m<BEK = 2m<KEC

m<BEK = 2 * 10x

m<BEK = 2 * (10)(6)

m<BEK = 2 * 60

m<BEK = 120

Answer:

Hello There. ☆~---~--___●♡●__~--☆ Since p = x² - 7, you can substitute/plug in p for x² - 7

So:

(x² - 7)² - 4x² + 28 = 5

(p)² - 4x² + 28 = 5   You can factor out -4 from (-4x² + 28)

p² - 4(x² - 7) = 5        Plug in p

p² - 4p = 5        Subtract 5

p² - 4p - 5 = 0  And, your correct answer is C.

Hope It Helps!~

ItsNobody~ ☆

Answer:

y>9x+6

Step-by-step explanation:

y-9x+(9x)>6+(9x)

y>9x+6

Answer:

96

Step-by-step explanation:

Simply multiply all the numbers together.

4 * 3 = 12

12 * 8 = 96

There are 96 possible combinations.

If this helped, please mark brainliest :D

Answer: 12 poles and 16 helmets

Step-by-step explanation:

3+4 =8

-4= -4

1.7

Answer:

Step-by-step explanation:

Given figure : Trapezoid

Base sides,

a = 11 cm

b = 11 - 3 = 8 cm

height ( h ) = 4 cm

Now, finding the area:

[tex] \frac{1}{2} (a + b) \: h[/tex]

plug the values

[tex] \frac{1}{2} \times (11 + 8) \times 4[/tex]

Calculate the sum

[tex] \frac{1}{2} \times 19 \times 4[/tex]

Reduce the numbers with G.C.F 2

[tex]19 \times 2[/tex]

Calculate the product

[tex]38 \: {cm}^{2} [/tex]

Hope this helps...

Best regards!